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Monomial
An algebraic expression with only 1 term. A single term I can either be a number, a variable, an exponent or everything all at once. NOT separated with a +, -, x or /
Binomial
2 separate terms connected with a +, -, x or -.
Trinomial
3 separate terms connected with a +, -, x or -.
Polynomial
4 or more separate terms
Coefficient
The number in front of a variable
Leading term
Term that contains highest power/degree of the variable, regardless of what position it is written in.
Leading Coefficient
Coefficient BELONGING to leading term